NDLI: Path integrals for quadratic lagrangians on p-adic and adelic spaces

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Path integrals for quadratic lagrangians on p-adic and adelic spaces

Content Provider	Springer Nature Link
Author	Dragovich, Branko Rakić, Zoran
Copyright Year	2010
Abstract	Feynman’s path integrals in ordinary, p-adic and adelic quantum mechanics are considered. The corresponding probability amplitudes K(x″, t″; x′, t′) for two-dimensional systems with quadratic Lagrangians are evaluated analytically and obtained expressions are generalized to any finite-dimensional spaces. These general formulas are presented in the form which is invariant under interchange of the number fields ℝ ↔ ℚ$_{p}$ and ℚ ↔ ℚ$_{p}$, p ≠ p′. According to this invariance we have that adelic path integral is a fundamental object in mathematical physics of quantum phenomena.
Starting Page	322
Ending Page	340
Page Count	19
File Format	PDF
ISSN	20700466
Journal	P-Adic Numbers, Ultrametric Analysis, and Applications
Volume Number	2
Issue Number	4
e-ISSN	20700474
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2010-11-25
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	path integrals transition amplitude p-adic numbers p-adic quantum mechanics adeles adelic quantum mechanics Algebra
Content Type	Text
Resource Type	Article
Subject	Mathematics

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